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We report on a direct mapping of acoustic slender waveguides to the onedimensional trimer Su- Schrieffer-Heeger model, with neither chiral nor mirrorsymmetry. Importantly, we can choose to perform this mapping for either theacoustic velocity or pressure. We demonstrate that, for finite systems, thischoice is necessarily linked to the boundary conditions. It allows for theunveiling of the edge states of the acoustic system through an edge state phasediagram. An experimental realization of our setup in the audible regimecorroborates our theoretical predictions.

Existence and characterization of edge states in an acoustic trimer Su-Schrieffer-Heeger model